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math.NT2007
Arithmetic progressions of primes in short intervals
Chunlei Liu
Green and Tao proved that the primes contains arbitrarily long arithmetic progressions. We show that, essentially the same proof leads to the following result: The primes in an sho…
math.NT2007
Sublattices of finite index
Chunlei Liu
Assuming the Gowers Inverse conjecture and the Möbius conjecture for the finite parameter , Green-Tao verified Dickson's conjecture for lattices which are ranges of linear maps…